47626880 has 64 divisors (see below), whose sum is σ = 130135680. Its totient is φ = 16327680.

The previous prime is 47626867. The next prime is 47626889. The reversal of 47626880 is 8862674.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (47626889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 836 + ... + 9795.

It is an arithmetic number, because the mean of its divisors is an integer number (2033370).

Almost surely, 2^47626880 is an apocalyptic number.

47626880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65067840).

47626880 is an abundant number, since it is smaller than the sum of its proper divisors (82508800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47626880 is a wasteful number, since it uses less digits than its factorization.

47626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657 (or 10645 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 47626880 is about 6901.2230800055. The cubic root of 47626880 is about 362.4799957253.

The spelling of 47626880 in words is "forty-seven million, six hundred twenty-six thousand, eight hundred eighty".